We study the poset 〈Iκ ,⊆〉 as a measure of how similar the structures A and B are to each other. A subset X of Iκ has the κ back-and-forth property if for all λ < κ ∀p ∈ X[∀a ∈ λA∃b ∈ B (p ∪ {〈a(i), b(i)〉 : i < λ} ∈ X) ∧ ∀b ∈ λB∃a ∈ A(p ∪ {〈a(i), b(i)〉 : i < λ} ∈ X)]. It is obvious that there is a largest κ-back-and-forth set which we denote by I∗ κ . The structures A and B are said to be parti...

It was questions about points on the real line that initiated the study of set theory. Points paved the way to point sets and these to ever more abstract sets. And there was more: Reflection on structural properties of point sets not only initiated the study of ordinary sets; it also supplied blueprints for defining extra-ordinary, “large” sets, transcending those provided by standard set theor...

Note to readers. What follows are drafts of six chapters of our book in progress, Seductions and Shortcuts: Fallacies in the Cognitive Economy, which is volume 3 of our omnibus work, A Practical Logic of Cognitive Systems, published by Elsevier/NorthHolland. The six chapters that appear here have been drafted as stand-alone pieces, and they have not yet been integrated into a smoothly flowing u...

We study a complete-information alternating-offer bargaining game in which one “active” player bargainswith each of a number of other “passive” players one at a time. In contrast to most existing models, the order of reaching agreements is endogenously determined, hence the active player can “play off” some passive players against others bymoving back and forth bargainingwith the passive player...

In order to mitigate the uncertainty that arises from the five paradoxes of corporate strategic philanthropy, we must re including its basic underlying assumptions. This paper sets forth a new model of corporate social responsibility: the charitable responsibilities model. By embracing the new model set forth paper, businesses can avoid the common pitfalls of corporate strategic philanthropy, i...

In [4] the author set forth a complete set of unitary invariants for a certain class of operators on Hubert space. The operators considered were exactly those operators which generate a finite W*algebra of type I in the terminology of [2]. One immediately wants to know some nontrivial examples of such operators, and Brown provided several examples in [l]. (Nontrivial here means non-normal opera...

An overview of the Kitt Peak National Observatory (KPNO) real-time environment is presented. The eleven optical telescopes at Kitt Peak employ a variety of experimental instruments, including Fourier Transform Spectrometers and large array digital cameras, that impose a diverse set of real-time requirements. Presented next will be a historical perspective of FORTH and KPNO over the last decade ...